3382684578000 has 800 divisors, whose sum is σ = 15038228325120. Its totient is φ = 713706163200.

The previous prime is 3382684577953. The next prime is 3382684578017. The reversal of 3382684578000 is 8754862833.

3382684578000 is a `hidden beast` number, since 3 + 3 + 8 + 2 + 68 + 4 + 578 + 0 + 0 + 0 = 666.

3382684578000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3382684578000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14627271 + ... + 14856729.

Almost surely, 2^{3382684578000} is an apocalyptic number.

3382684578000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3382684578000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7519114162560).

3382684578000 is an abundant number, since it is smaller than the sum of its proper divisors (11655543747120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3382684578000 is a wasteful number, since it uses less digits than its factorization.

3382684578000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229514 (or 229489 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 3382684578000 in words is "three trillion, three hundred eighty-two billion, six hundred eighty-four million, five hundred seventy-eight thousand".